Mario Bettinus (
Italian
Italian(s) may refer to:
* Anything of, from, or related to the people of Italy over the centuries
** Italians, an ethnic group or simply a citizen of the Italian Republic or Italian Kingdom
** Italian language, a Romance language
*** Regional Ita ...
name: Mario Bettini; 6 February 1582 – 7 November 1657) was an Italian
Jesuit
, image = Ihs-logo.svg
, image_size = 175px
, caption = ChristogramOfficial seal of the Jesuits
, abbreviation = SJ
, nickname = Jesuits
, formation =
, founders ...
philosopher
A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek th ...
,
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
and
astronomer
An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or field outside the scope of Earth. They observe astronomical objects such as stars, planets, moons, comets and galaxies – in either ...
. The lunar crater
Bettinus was named after him by
Giovanni Riccioli
Giovanni Battista Riccioli, SJ (17 April 1598 – 25 June 1671) was an Italian astronomer and a Catholic priest in the Jesuit order. He is known, among other things, for his experiments with pendulums and with falling bodies, for his discussion ...
in 1651.
Biography
Mario Bettinus studied mathematics under the Belgian Jean Verviers and
Giuseppe Biancani
Giuseppe Biancani, SJ (Latin: Josephus Blancanus) (1566–1624) was an Italian Jesuit astronomer, mathematician, and selenographer, after whom the crater Blancanus on the Moon is named. He was a native of Bologna.
Works
His ''Aristotelis ...
at the Jesuit school in
Parma
Parma (; egl, Pärma, ) is a city in the northern Italian region of Emilia-Romagna known for its architecture, music, art, prosciutto (ham), cheese and surrounding countryside. With a population of 198,292 inhabitants, Parma is the second m ...
. He was responsible for teaching
military architecture in
Parma
Parma (; egl, Pärma, ) is a city in the northern Italian region of Emilia-Romagna known for its architecture, music, art, prosciutto (ham), cheese and surrounding countryside. With a population of 198,292 inhabitants, Parma is the second m ...
during the period 1624–1630. Among the students attending his classes at the ''seminarium nobilium'' were the two sons of Duke
Ranuccio,
Ottavio Ottavio is the Italian form of Octavius. Its feminine given name version is Ottavia. Ottavio may refer to:
Given name
* Ottavio Cinquanta, the President of the International Skating Union
* Ottavio Leoni, Italian painter
* Ottavio Piccolomini, (15 ...
and
Odoardo Odoardo is a given name. Notable people with the name include:
* Odoardo Barri (1844–1920), the pseudonym of Edward Slater
*Odoardo Beccari (1843–1920), Italian naturalist, discovered the titan arum in Sumatra in 1878
*Odoardo Borrani (1833–1 ...
. Besides being Ottavio's teacher of military mathematics, Bettinus also served as military consultant to the courts of Parma (1612–1613),
Modena
Modena (, , ; egl, label= Modenese, Mòdna ; ett, Mutna; la, Mutina) is a city and '' comune'' (municipality) on the south side of the Po Valley, in the Province of Modena in the Emilia-Romagna region of northern Italy.
A town, and seat o ...
(1617–1618) and again Parma (1626–1627), and as a military architect at
Novellara Novellara ( Reggiano: or ) is a town and '' comune'' in the province of Reggio Emilia, Emilia-Romagna, Italy and has a population of 13,670. It is north of Reggio Emilia and has a railway station for the local train going from Reggio to Guastalla ...
(1618–1619), seat of the novitiate of the Jesuit ‘''Provincia Veneta''’.
Besides being the mentor of
Guarino Guarini
Camillo Guarino Guarini (17 January 1624 – 6 March 1683) was an Italian architect of the Piedmontese Baroque, active in Turin as well as Sicily, France, and Portugal. He was a Theatine priest, mathematician, and writer..
Biography
Guarini w ...
(1624–1683), Bettinus was also a close friend of Prince
Raimondo Montecuccoli
Raimondo Montecuccoli (; 21 February 1609 – 16 October 1680) was an Italian-born professional soldier, military theorist, and diplomat, who served the Habsburg monarchy.
Experiencing the Thirty Years' War from scratch as a simple footsoldier ...
(1609–1680)—the latter had even sent him a copy of his work on fortifications from Hohenneg on 15 July 1652.
Works
Bettinus privileged mathematics, intended as the only discipline abstract enough to allow intellect to approach
theology
Theology is the systematic study of the nature of the divine and, more broadly, of religious belief. It is taught as an academic discipline, typically in universities and seminaries. It occupies itself with the unique content of analyzing th ...
. The Jesuit mathematician held the belief that, precisely because of their abstraction, mathematical theorems and demonstrations lead one away from the mundane and toward the divine. On the contrary, he considered a research based on sense as too bound to human limitations (and, therefore, unreliable). Yet, Bettinus was a skilled
astronomer
An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or field outside the scope of Earth. They observe astronomical objects such as stars, planets, moons, comets and galaxies – in either ...
; and clues of experimental knowledge are all but invisible in his work.
His best-known work is ''Apiaria Universae Philosophiae Mathematicae'' 'Beehives of all mathematical philosophy' (1645), an encyclopedic collection of mathematical curiosities. This book, reflecting his many interests, is a collection of scientific mysteries embracing everything from geometrical demonstrations to illusionistic stage sets, music, perpetual motion machines, and anamorphoses. According to Bettinus, the natural world abounds in mathematical delights such as spider webs and the honeycombs of bees. From these creations of nature can be drawn geometrical principles useful for mechanical, optical, and artistic designs. This work had been reviewed by
Christoph Grienberger
Christoph (Christophorus) Grienberger (also variously spelled Gruemberger, Bamberga, Bamberger, Banbergiera, Gamberger, Ghambergier, Granberger, Panberger) (2 July 1561 – 11 March 1636) was an Austrian Jesuit astronomer, after whom the crater ...
.
In his ''Apiaria'' military technologies featured prominently. His machines of war were mentioned by Montecuccoli, by the famous Jesuit mathematicians
Athanasius Kircher
Athanasius Kircher (2 May 1602 – 27 November 1680) was a German Jesuit scholar and polymath who published around 40 major works, most notably in the fields of comparative religion, geology, and medicine. Kircher has been compared to fe ...
and
Jacques Ozanam
Jacques Ozanam (16 June 1640, in Sainte-Olive, Ain – 3 April 1718, in Paris) was a French mathematician.
Biography
Jacques Ozanam was born in Sainte-Olive, Ain, France.
In 1670, he published trigonometric and logarithmic tables more accu ...
and by the Polish master of artillery, Casimir Semenowycz. This book must have been rated highly by the English physician and philosopher Sir
Thomas Browne, for a copy can be found in
his library.
Bettinus' work included a commentary on the first six books of
Euclid
Euclid (; grc-gre, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of ...
, a traditional part of Jesuit mathematical curriculum and a form followed by
Clavius
Christopher Clavius, SJ (25 March 1538 – 6 February 1612) was a Jesuit German mathematician, head of mathematicians at the Collegio Romano, and astronomer who was a member of the Vatican commission that accepted the proposed calendar inve ...
a half century earlier. Bettinus penned a
method
Method ( grc, μέθοδος, methodos) literally means a pursuit of knowledge, investigation, mode of prosecuting such inquiry, or system. In recent centuries it more often means a prescribed process for completing a task. It may refer to:
*Scien ...
for laying out a
sundial which was posthumously published in the book ''Recreationum Mathematicarum Apiaria Novissima'' 1660.
Publications
*''Apiaria Universae Philosophiae Mathematicae, in quibus Paradoxa, et nova pleraque machinamenta ad usus eximios traducta et facillimis demonstrationibus confirmata exhibentur'', 3 vols. Bologna: Typis Io. Baptistae Ferronij, Venice: Apud Paulum Baleonium, 1642–55. The 'paradoxes' are of many different kinds—scientific ideas contrary to general opinion, logical and mathematical paradoxes, geometrical problems which had not yielded to solution, curious machines and engines, illusions, games, and tricks. Bettinus tackled the 'learned hallucinations' constellated about the quadrature problem, and about
asymptotic lines which go ''de infinito infinito'', as well as those that result from deformation of the rules of perspective.
Archimedes' screw
The Archimedes screw, also known as the Archimedean screw, hydrodynamic screw, water screw or Egyptian screw, is one of the earliest hydraulic machines. Using Archimedes screws as water pumps (Archimedes screw pump (ASP) or screw pump) dates back ...
(which raised by lowering itself), wedges, levers all make their appearance, magnificently illustrated.
*
**
***
See also
*
List of Jesuit scientists
This is a list of Catholic clergy throughout history who have made contributions to science. These churchmen-scientists include Nicolaus Copernicus, Gregor Mendel, Georges Lemaître, Albertus Magnus, Roger Bacon, Pierre Gassendi, Roger Joseph ...
*
List of Roman Catholic scientist-clerics
A ''list'' is any set of items in a row. List or lists may also refer to:
People
* List (surname)
Organizations
* List College, an undergraduate division of the Jewish Theological Seminary of America
* SC Germania List, German rugby unio ...
References
External links
*Bettinus' (1642, 2 vol.
''Apiaria universae philosophiae mathematicae''- Linda Hall Library
{{DEFAULTSORT:Bettinus
1582 births
1657 deaths
People from Bologna
17th-century Italian astronomers
17th-century Italian mathematicians
Italian philosophers
Catholic clergy scientists
17th-century Italian Jesuits
Jesuit scientists